2500 rpm is the angular velocity in revolutions per minute
A grinding wheel 0.35 m in diameter rotates at 2500 rpm. Calculate its angular velocity in rad/s.
[pic]2500 rpm is the angular velocity in revolutions per minute. Convert this in rad/s:
[pic]
The blades in a blender rotate at a rate of 6500 rpm. When the motor is turned off during operation, the blades slow to rest in 3.0 s. What is the angular acceleration as the blades slow down (in rad/s2)?
[pic]→ [pic]
[pic] (rest)
Angular acceleration is the time rate of change in angular velocity:
[pic]
A rotating merry-go-round makes one complete revolution in 4.0 s. What is the linear speed of a child seated 1.2 m from the center?
[pic]
[pic]
Or:
A child seated 1.2 m from the center would travel [pic] in 1 revolution
Linear speed = distance/time = [pic]
A wheel 33 cm in diameter accelerates uniformly from 240 rpm to 360 rpm in 6.5 s. How far will a point in the edge of the wheel have travelled in this time?
[pic]→[pic]
[pic]→[pic]
[pic]
[pic]During this time, a point on the edge of the wheel would have travelled [pic]
*Remember that for each 1 radian of angular displacement, a point travels a distance equal to [pic]
A cooling fan is turned off when it is running at 850 rev/min. It turns 1500 revolutions before it comes to a stop. How long did it take the fan to come to a complete stop?
[pic]→[pic]
[pic] (rest)
[pic]→[pic]
[pic]
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